52485402816000 has 3840 divisors, whose sum is σ = 250614339655680. Its totient is φ = 10630103040000.

The previous prime is 52485402815981. The next prime is 52485402816001. The reversal of 52485402816000 is 61820458425.

52485402816000 is a `hidden beast` number, since 5 + 2 + 4 + 85 + 402 + 8 + 160 + 0 + 0 = 666.

52485402816000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52485402816001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 49097663466 + ... + 49097664534.

It is an arithmetic number, because the mean of its divisors is an integer number (65264150952).

Almost surely, 2^{52485402816000} is an apocalyptic number.

52485402816000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52485402816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125307169827840).

52485402816000 is an abundant number, since it is smaller than the sum of its proper divisors (198128936839680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52485402816000 is a wasteful number, since it uses less digits than its factorization.

52485402816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 52485402816000 in words is "fifty-two trillion, four hundred eighty-five billion, four hundred two million, eight hundred sixteen thousand".